"to reach the maximum level," by 1986, colloquial, from maximize or related words. Related: Maxed; maxing. As a noun, by 1811 in reference to a kind of gin said to be the best, apparently an abbreviation of French maxime.
maverick
mavis
maw
mawkish
maw-worm
max
maxi-
maxilla
maxillary
maxim
Maxim